2221048384 has 63 divisors (see below), whose sum is σ = 4545450777. Its totient is φ = 1076780544.

The previous prime is 2221048381. The next prime is 2221048387. The reversal of 2221048384 is 4838401222.

The square root of 2221048384 is 47128.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (2221048381) and next prime (2221048387).

It can be written as a sum of positive squares in only one way, i.e., 1304654400 + 916393984 = 36120^2 + 30272^2 .

It is a super-2 number, since 2×2221048384² = 9866111848138022912, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2221048381) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 16211964 + ... + 16212100.

Almost surely, 2^2221048384 is an apocalyptic number.

2221048384 is the 47128-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2221048384

2221048384 is an abundant number, since it is smaller than the sum of its proper divisors (2324402393).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2221048384 is an frugal number, since it uses more digits than its factorization.

2221048384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 372 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 34.

The cubic root of 2221048384 is about 1304.7260688570.

The spelling of 2221048384 in words is "two billion, two hundred twenty-one million, forty-eight thousand, three hundred eighty-four".